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A213356 Numbers that are not the sum of distinct primes with prime subscripts. 5
1, 2, 4, 6, 7, 9, 10, 12, 13, 15, 18, 21, 23, 24, 26, 27, 29, 30, 32, 35, 37, 38, 40, 43, 54, 65, 68, 71, 82, 85, 96 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Same as numbers <= 96 that are not the sum of distinct primes 3, 5, 11, 17, 31, 41, 59, 67, 83 (= terms of A006450 <= 96), because Dressler and Parker prove that every integer > 96 is a sum of distinct terms of A006450 (primes with prime subscripts).

LINKS

Table of n, a(n) for n=1..31.

R. E. Dressler and S. T. Parker, Primes with a prime subscript, J. ACM 22 (1975) 380-381.

EXAMPLE

Prime(Prime(1)) = Prime(2) = 3 and Prime(Prime(2)) = Prime(3) = 5, so 1, 2, and 4 are members, but 3, 5, and 3+5=8 are not.

CROSSREFS

Cf. A006450, A185723 (complement), A185724, A214296.

Sequence in context: A183569 A248612 A247000 * A079393 A047512 A026273

Adjacent sequences:  A213353 A213354 A213355 * A213357 A213358 A213359

KEYWORD

full,fini,nonn

AUTHOR

Jonathan Sondow, Jul 10 2012

STATUS

approved

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Last modified April 16 05:26 EDT 2021. Contains 343030 sequences. (Running on oeis4.)